hermannjamie
hermannjamie hermannjamie
  • 28-02-2021
  • Mathematics
contestada

is the expression a^12 x a^4 equivalent to a^8 x a^8

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DynamoPrince2612
DynamoPrince2612 DynamoPrince2612
  • 28-02-2021

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Properties of indices.

Here, we have to prove that, if the above exponential equation are equal or not., let's prove it

1.)L.H.S

a^12*a^4 = a^m*a^n ===> a^(m+n)

hence, a^(12+4) ===> a^(16)

2.) R.H.S

===> a^8*a^8 = a^(8+8) ==> a^(16)

since here, LHS = RHS

so both are equal.

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